MODULAR CATEGORIES OF DIMENSION p(3)m WITH m SQUARE-FREE
Additional Document Info
2018, American Mathematical Society. We give a complete classification of modular categories of dimension p 3 m where p is prime and m is a square-free integer relatively prime to p. When p is odd, all such categories are pointed. For p = 2 one encounters modular categories with the same fusion ring as orthogonal quantum groups at certain roots of unity, namely SO(2m) 2 . We also classify the more general class of modular categories with the same fusion rules as SO(2N) 2 with N odd.